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Finding the Fourth Proportional to 120,165.50, 180,356.58 and 64,052.34

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Solution

The fourth proportional to 120,165.50, 180,356.58 and 64,052.34 is: 96,136.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,165.50 : 180,356.58 = 64,052.34 : x
  2. Step 2: Convert to fraction form
    120,165.50/180,356.58 = 64,052.34/x
  3. Step 3: Cross multiply
    120,165.50x = 180,356.58 × 64,052.34
  4. Step 4: Simplify right side
    120,165.50x = 11,552,260,983.40
  5. Step 5: Solve for x
    x = 11,552,260,983.40/120,165.50
  6. Step 6: Final answer
    x = 96,136.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.